Tuesday

July 22, 2014

July 22, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 33 feet?
*Wednesday, April 30, 2014 at 8:21pm*

**Calculus**

A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 12 dollars per foot. Find the dimensions of the enclosure that is most ...
*Wednesday, April 30, 2014 at 7:35pm*

**Calculus**

Find the point on the line -4x+7y+3=0 which is closest to the point(-5,-5)
*Wednesday, April 30, 2014 at 7:30pm*

**Calculus Help Please Urgent!!!**

Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!
*Wednesday, April 30, 2014 at 6:59pm*

**Calculus**

if the work required to stretch a spring 1 ft beyond its natural length is 12 ft-b, how much work is needed to stretch 9 inches beyond its natural length?
*Wednesday, April 30, 2014 at 12:28am*

**Calculus Help and Check**

The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 − 0.01x + 0.000012x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards. $186,000
*Tuesday, April 29, 2014 at 8:45pm*

**calculus**

3x^2-75/6x+30
*Tuesday, April 29, 2014 at 7:37pm*

**calculus**

x^2-9/8x-24
*Tuesday, April 29, 2014 at 7:36pm*

**calculus**

(x^2-1)/5x+5
*Tuesday, April 29, 2014 at 7:34pm*

**calculus**

8x^3 + 27 divided by 4x^2 + 12x +9
*Tuesday, April 29, 2014 at 6:44pm*

**calculus**

9x^3+5x-8 divided by 3x-2
*Tuesday, April 29, 2014 at 6:40pm*

**calculus**

24x^2-10x-21/32^2-18
*Tuesday, April 29, 2014 at 2:37pm*

**calculus**

(x^2-4x+6)(x-3)^-3
*Tuesday, April 29, 2014 at 2:34pm*

**calculus**

9x^3+5x-8/3x-2
*Tuesday, April 29, 2014 at 2:33pm*

**calculus**

(2y^3-3y^2+3y-4)/(y-2)
*Tuesday, April 29, 2014 at 2:32pm*

**CALCULUS**

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...
*Tuesday, April 29, 2014 at 2:32pm*

**calculus**

x^2+5X/(x^3-25x)(x-5)^-1
*Tuesday, April 29, 2014 at 2:30pm*

**calculus**

8x^3+27/4x^2+12x+19
*Tuesday, April 29, 2014 at 2:29pm*

**calculus**

24^2-10x-21/32x^2-81
*Tuesday, April 29, 2014 at 2:28pm*

**CALCULUS HELP PLZ**

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...
*Tuesday, April 29, 2014 at 1:56pm*

**Calculus**

How do you find the first and second derivative of the following function? P(t)=20/(1+3e^-0.02t)
*Monday, April 28, 2014 at 10:58pm*

**Calculus**

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. B)Find the volume of the solid generated by revolving the region about the y-axis Part A was solved below. Does anyone know how to do Part B?
*Sunday, April 27, 2014 at 10:00pm*

**Calculus**

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the y-axis
*Sunday, April 27, 2014 at 9:08pm*

**CALCULUS**

two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
*Sunday, April 27, 2014 at 2:33am*

**CALCULUS**

Determine the intervals for which the curve r(t)=4sin^3(t)i + 7cos^3(t)j is smooth on [0,2pai]
*Sunday, April 27, 2014 at 2:09am*

**Calculus Help Please Urgent!!!**

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ??? Then improve your estimate by using six rectangles. R6= ??? Sketch the curve and the approximating rectangles for R3 and R6? b) Repeat part (a) using left ...
*Saturday, April 26, 2014 at 8:39pm*

**Calculus**

Ian's house is located 20km north of Aida's house. At 9am, one saturday, Ian leaves his house and jogs south at 8km/hour. At the same time Aida leaves her house and jogs east at 6km/h. When are Ian and Aida closest together given that they both run for 2.5 hours? The ...
*Saturday, April 26, 2014 at 10:59am*

**Calculus**

How fast must you release the string of your kite if the kite that you are flying is 40 meters high, 50 meters away from you and moving horizontally away at rate of 30 meters per minute?
*Friday, April 25, 2014 at 10:13pm*

**Calculus Please Help4**

Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...
*Friday, April 25, 2014 at 8:27pm*

**Calculus Please Help3**

Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty
*Friday, April 25, 2014 at 8:10pm*

**Calculus Please Help2**

Evaluate the integral by using substitution. Use an upper-case "C" for the constant of integration. integral x^5((x^6-2)^10)dx ty
*Friday, April 25, 2014 at 8:08pm*

**Calculus Please Help**

integral t^2dt from x to x^2 f'(x)=?
*Friday, April 25, 2014 at 7:38pm*

**calculus help**

A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the diameter that minimizes the amount of material...
*Friday, April 25, 2014 at 6:33pm*

**calculus help**

for f(x)= ln(x-3) on the interval [5,9], find c so that f'(c)= (f(b)-f(a))/(b-a)
*Friday, April 25, 2014 at 6:21pm*

**calculus help**

Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that is already there as the north boundary. The fencing for the east and west sides of the plot will cost $3 a yard, but she needs to use special fencing, which costs $5 a yard, on ...
*Friday, April 25, 2014 at 5:53pm*

**calculus help**

At time t=0, an astronaut stands on a platform 3 meters above the moon's surface and throws a rock directly upward with an initial velocity of 32 m/sec. if the acceleration due to gravity is 1.6 m/sec^2. a) find the equations of motion for the throwing of this rock. -1. a(...
*Friday, April 25, 2014 at 5:48pm*

**Locus- Calculus**

Find the equation of the locus of the point representing z if |z-5-12i| + |z-5+21i|=13
*Friday, April 25, 2014 at 1:19am*

**calculus help**

A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the diameter that minimizes the amount of material...
*Thursday, April 24, 2014 at 10:28pm*

**Calculus Help **

Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that is already there as the north boundary. The fencing for the east and west sides of the plot will cost $3 a yard, but she needs to use special fencing, which will minimize the ...
*Thursday, April 24, 2014 at 10:24pm*

**CALCULUS **

A plane, flying horizontally at an altitude of 1 km and a speed of 500 km/hr, passes directly over a radar station. find the rate in km/hr at which the distance from the plane to the station is changing when it is 2 km away from the radar station. Hint: this is not a max/min ...
*Thursday, April 24, 2014 at 10:22pm*

**Calculus Help Please Urgent!!!**

At time t=0, an astronaut stands on a platform 3 meters above the moon's surface and throws a rock directly upward with an initial velocity of 32 m/sec. if the acceleration due to gravity is 1.6 m/sec^2. a) find the equations of motion for the throwing of this rock. b) how...
*Thursday, April 24, 2014 at 10:19pm*

**Calculus**

The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2.
*Thursday, April 24, 2014 at 2:03pm*

**Calculus**

A real estate office manages 50 apartments in a downtown building. When the rent is $900 per month, all the units are occupied. For every $25 increase in rent, one unit becomes vacant. On average, all units require $75 in maintenance and repairs each month. How much rent ...
*Thursday, April 24, 2014 at 8:56am*

**Calculus**

1)A north south highway, intersects an east west highway, at point P. A vehicle process point P @ 1pm, traveling east at a constant speed of 60km/h. At the same instant another vehiclist 5km north of P, travelling south at 80km/h, find the time, when the 2 vehicles are closest...
*Thursday, April 24, 2014 at 8:53am*

**math, calculus**

1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5, and x=5 and the x-axis. A. Set up a sum of integrals, not containing an absolute value symbol, that can be used to find the area of this region. B. Find the area of the region by using your answer from part A. ...
*Wednesday, April 23, 2014 at 11:36pm*

**Calculus **

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ???? Then improve your estimate by using six rectangles. R6= ????? Sketch the curve and the approximating rectangles for R3. Sketch the curve and the ...
*Wednesday, April 23, 2014 at 4:30pm*

**calculus help**

Find f. f'(x) = 9/(square root of (1-x^2)) , f(1/2) = 1 f(x) = ??????
*Wednesday, April 23, 2014 at 4:08pm*

**calculus help**

A particle is moving with the given data. Find the position of the particle. a(t)= (t^2 - 5t +7) , s(0)=0 , s(1)=20 Thanks!
*Wednesday, April 23, 2014 at 4:05pm*

**Calculus**

Use u-substitute to compute the following: A) ∫((x)/((x^2)+5)) dx B) ∫((sin(ln(x)))/(x)) dx
*Tuesday, April 22, 2014 at 9:35pm*

**calculus help**

find the position function s(t) given acceleration a(t)=3t, if v(2)=0, and s(2)=1. the answer is s(t)=(t^3/2)-6t +9 but I don't know how to solve this. Can someone help me with this? Thank you!
*Tuesday, April 22, 2014 at 8:53pm*

**Calculus**

At 8:00am, ship A is 120km due east of ship B. Ship A is moving north at 20km/hr, and ship B is moving east at 25km/hr. How fast is the difference between the two ships changing at 8:30am?
*Tuesday, April 22, 2014 at 6:00pm*

**calculus**

x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down
*Tuesday, April 22, 2014 at 4:01pm*

**statistics**

We guess, based on historical data, that 30% of graduating high-school seniors in a large city will have completed a first-year calculus course. What's the minimum sample size needed to construct a 95% confidence interval for a proportion with a margin of error of 2.5%?
*Tuesday, April 22, 2014 at 11:56am*

**calculus help**

Suppose that f'(x)= (2x^2-5x-12)/(3x^2-7x+2) and that f(x) is continuous for all real numbers x. a) Do a sign diagram to list the values of x where f(x) has local maximums and local minimums. In addition, list the intervals where f(x) is increasing and decreasing. b) Draw ...
*Monday, April 21, 2014 at 6:52pm*

**Calculus **

What is limit as x approaches 0 of x*(2^x)/((2^x)-1))
*Monday, April 21, 2014 at 12:27pm*

**Calculus **

Limit as x approaches (pi/2)^- of (x-pi/2)*secx
*Monday, April 21, 2014 at 12:26pm*

**Calculus**

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.
*Monday, April 21, 2014 at 12:25pm*

**Calculus **

Determine the behavior of limits A. Limit as x approaches 1 of: (log x)/((x-1)^2) B. Limit as x approaches infinity of: ((x-1)^2)/(log x))
*Monday, April 21, 2014 at 9:44am*

**Calculus **

Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)
*Monday, April 21, 2014 at 9:42am*

**calculus**

u have 7 different pass codes from a choice of 8 numbers how many possible outcomes are there
*Sunday, April 20, 2014 at 2:04pm*

**Calculus Help **

A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (Round your answers to three decimal places.) (a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising ...
*Saturday, April 19, 2014 at 3:55pm*

**calculus help**

What constant acceleration is required to increase the speed of a car from 22 mi/h to 50 mi/h in 3 s? (Round your answer to two decimal places.)
*Saturday, April 19, 2014 at 3:42pm*

**calculus**

x^4 + 2x^2 + 1 = 0 (x^2)^2 +2x^2 +1 = 0 (x^2 + 1)^2 = 0 I don't know where to go now although I know the answer is x = i, -i
*Saturday, April 19, 2014 at 9:03am*

**calculus**

Let f x coth x . Use the Graph software posted in Moodle to do the following: (a) Graph f x . (b) Graph the tangent and normal lines to the graph of f x at x 1. (c) Graph f x . (d) ...
*Saturday, April 19, 2014 at 3:19am*

**Calculus Please Need Urgent3 :/**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!
*Saturday, April 19, 2014 at 12:39am*

**Calculus Please Need Urgent2 :/**

Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=??
*Saturday, April 19, 2014 at 12:38am*

**Calculus Please Need Urgent :/**

Find the most general antiderivative of f(x)=–8e^x–6secant^2(x) where -pi/2<x<pi/2 Note: Any arbitrary constants used must be an upper-case "C". F(x)=?
*Saturday, April 19, 2014 at 12:37am*

**Calculus Help Please!**

If f(x)=Integral (t^3+6t^2+4)dt from 0 to x then f''(x)=?
*Saturday, April 19, 2014 at 12:34am*

**Calculus Help and Check**

1)Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use ln |u| where appropriate.) f(x) = (1/5)−(3/x) -----> (x/5)-3lnx+C 2)Find f. f ''(x) = 4 + 6x + ...
*Friday, April 18, 2014 at 10:47pm*

**Calculus Help Please Urgent!!!**

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? 14 m this one I got right (b) How much wire should be used...
*Friday, April 18, 2014 at 6:57pm*

**Calc**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:37am*

**Calculus**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:34am*

**calculus**

A bug crawls along the graph of 2 y x x 4 1 , where x and y are positive and measured in centimeters. If the x-coordinate of the bug’s position x y, changes at a constant rate of 3 cm/min, how fast is the y-coordinate changing ...
*Friday, April 18, 2014 at 3:48am*

**calculus **

A person 150cm tall is walking away from a lamp post at the rate of 15 meter per minute. when the man is 2.5m from the lamp post, his shadow is 3m long. Find the rate at which the length of the shadow is increasing when he is 7m from the lamp post.
*Friday, April 18, 2014 at 1:09am*

**Calculus**

Given f(3)=4 and f'(3)=5, find g'(3), where g(x)=8x.f(x)
*Thursday, April 17, 2014 at 1:17pm*

**Calculus**

An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs $3 per square foot and the material on the sides costs $2 per square foot, determine the size of the base that minimizes the total cost.
*Wednesday, April 16, 2014 at 11:09pm*

**CALCULUS **

The base of S is a circular disk with radius 3r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 8h and unequal side in the base. a. set up an interval for volume of S b. by interpreting the intergal as an area, find the volume of S
*Wednesday, April 16, 2014 at 9:49pm*

**calculus help**

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)
*Wednesday, April 16, 2014 at 6:53pm*

**calculus help**

Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the intervals of increase and decrease and the intervals of concavity. f(x)= 1+(1/x)+(5/x^2)+(1/x^3) find the interval of increase. find the interval of decrease. find the ...
*Wednesday, April 16, 2014 at 5:37pm*

**calculus help check and help **

if an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account is v= mg/c(1-e^(-ct/m)) where g is the acceleration due to gravity and c is a positive constant describing air resistance. a) calculate lim t->...
*Wednesday, April 16, 2014 at 5:01pm*

**calculus **

consider the equation below f(x)=e^(7x)+e^(-x) find the intervals on which f is increasing and decreasing (enter your answers using interval notation) find the local minimum of f. find the interval on which f is concave up.
*Wednesday, April 16, 2014 at 4:24pm*

**calculus help**

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)= ln(x) , [1,6] If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not...
*Wednesday, April 16, 2014 at 4:15pm*

**calculus help**

explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
*Wednesday, April 16, 2014 at 3:33pm*

**Calculus Help!!!!!**

sketch the graph of the following. Show all your work and include all the important points and asymptotes. also find y' and y'' ? y= (x^3)/(x+1)^2
*Wednesday, April 16, 2014 at 3:21pm*

**Calculus Help Please!!!**

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. ...
*Wednesday, April 16, 2014 at 2:26pm*

**calculus help please **

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? = 14 m (b) How much wire should be used for the square in ...
*Tuesday, April 15, 2014 at 10:10pm*

**calculus help**

If C(x) = 12000 + 600x − 0.6x^2 + 0.004x^3 is the cost function and p(x) = 1800 − 6x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)
*Tuesday, April 15, 2014 at 8:35pm*

**Calculus Help Please Urgent!!!**

A cone-shaped paper drinking cup is to be made to hold 30 cm^3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.) Height = ? Radius = ? Show work please!!!
*Tuesday, April 15, 2014 at 8:06pm*

**Calculus II**

Compute the first 5 terms of the sequence: {b(n)}n=1-> infinity = nsqrt(6n) + (5/6)^n. ((that is:(Bsub(n))from n=1 to infinity = nth root of 6n + (5/6)raised to n.)) If the sequence converges, find the limit.
*Tuesday, April 15, 2014 at 1:08pm*

**Calculus II**

Consider the sequence: (a,sub(n))={1/n E(k=1 to n) 1/1+(k/n)} Show that the limit(as n-> infinity) A(sub(n))= ln 2 by interpreting a(sub(n)) as a Reimann Sum of a Definite Integral.
*Tuesday, April 15, 2014 at 1:07pm*

**calculus**

find average value of f [0,10] f(x)= 3/x+1
*Tuesday, April 15, 2014 at 12:47am*

**calculus**

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 40 cubic feet.
*Monday, April 14, 2014 at 11:41pm*

**calculus**

false
*Monday, April 14, 2014 at 11:09pm*

**Calculus II**

Compute the first 5 terms of the sequence: {b(n)}n=1¨‡ = nã6n + (5/6)^n. ((that is:(Bsub(n))from n=1 to infinity = nth root of 6n + (5/6)raised to n.)) If the sequence converges, find the limit.
*Monday, April 14, 2014 at 5:44pm*

**Calculus 2**

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence. a. Summation n=0 to infinity (n(x^n))/(n^2 + 2) b. ...
*Monday, April 14, 2014 at 2:55pm*

**Calculus Help Please Urgent!!!**

find the limit algebraically. Use L'Hospital's Rule where appropriate. If there is a moare elementary method, consider using it. If L'Hospital's Rule doesn't apply, explain why lim -> 0 (cot(x)-(1/x)) show work please!!!
*Sunday, April 13, 2014 at 10:39pm*

**Calculus**

ABC Daycare wants to build a fence to enclose a rectangular playground. The area of the playground is 900 square feet. The fence along three of the sides costs $5 per foot and the fence along the fourth side, which will be made of brick, costs $10 per foot. Find the length of ...
*Sunday, April 13, 2014 at 9:48pm*

**calculus**

A population of a very rare insect in an area in a discrete rural region in ASEAN will grow at a rate that is proportional to their current population. In the absence of any outside factors, the population will triple in two weeks’ time. On any given day there is a net ...
*Sunday, April 13, 2014 at 12:19am*

**calculus**

The top and bottom margins of a rectangular poster are 6 centimeters each, and the side margins are 4 centimeters each. If the area printed on the poster is fixed at 384 cm2, a) Sketch the figure. b) Find the dimensions of the poster using the least amount of paper.
*Sunday, April 13, 2014 at 12:17am*

**calculus**

in the following series x is a real number. In each case use the ratio test to determine the radius of convergence of the series. Analyze the behavior of the series at the endpoints in order to determine the interval of convergence. A) (nx^n)/(n^2 + 2) B)((n^2)(x-2)^n)/2^n C...
*Saturday, April 12, 2014 at 9:18pm*

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